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Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do this?

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

Picturing the World

Stage: 3 and 4 Challenge Level:

In the book "If the World Were a Village", David J Smith and Shelagh Armstrong imagine the world as a village of 100 people and show various world statistics in terms of the number of villagers. You can watch a short animation based on the book here.

Can you represent your own country (or a country of your choice) in a similar way?
You could use the village of 100 people idea, or perhaps "If my country was a class of thirty students"...

You may get ideas for groupings from the book, or come up with your own.

Alternatively, if you want to work with worldwide statistics, you could come up with some extra pages for the original book.

Once you have researched statistics for your country how can you present them?Stan's Cafe Theatre Company represented each person in the world as a single grain of rice, and then arranged them in heaps to help people compare different groups. You can watch a short video of the process here.

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.